4 papers
Word maps and random words
Emmanuel Breuillard, Itay Glazer
We discuss some recent results by a number of authors regarding word maps on algebraic groups and finite simple groups, their mixing properties and the geometry of their fibers, em…
Eventual tightness of projective dimension growth bounds: quadratic in the degree
Raf Cluckers, Itay Glazer
In projective dimension growth results, one bounds the number of rational points of height at most on an irreducible hypersurface in of degree by $C(n)d^2 H…
On singularity properties of word maps and applications to probabilistic Waring type problems
Itay Glazer, Yotam I. Hendel
We study singularity properties of word maps on semisimple algebraic groups and Lie algebras, generalizing the work of Aizenbud-Avni in the case of the commutator map. Given a word…
On singularity properties of convolutions of algebraic morphisms -- the general case (with an appendix joint with Gady Kozma)
Itay Glazer, Yotam I. Hendel
Let be a field of characteristic zero, and be smooth -varieties, and let be a algebraic -group. Given two algebraic morphisms and $ψ:Y\righ…